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A008416 Coordination sequence for 8-dimensional cubic lattice. +0
3
1, 16, 128, 688, 2816, 9424, 27008, 68464, 157184, 332688, 658048, 1229360, 2187520, 3732560, 6140800, 9785072, 15158272, 22900496, 33830016, 48978352, 69629696, 97364944, 134110592, 182192752 (list; graph; listen)
OFFSET

0,2

COMMENT

Coordination sequence for 8-dimensional cyclotomic lattice Z[zeta_16].

REFERENCES

M. Beck and S. Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv math.CO/0508136.

LINKS

T. D. Noe, Table of n, a(n) for n=0..1000

J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (Abstract, pdf, ps).

FORMULA

G.f.: ((1+x)/(1-x))^8.

CROSSREFS

Sequence in context: A004017 A138331 A008535 this_sequence A045651 A035473 A014972

Adjacent sequences: A008413 A008414 A008415 this_sequence A008417 A008418 A008419

KEYWORD

nonn,easy

AUTHOR

njas

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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